Factor completely 2x3 + x2 - 18x - 9
2 answers:
Factor the following:
2 x^3 + x^2 - 18 x - 9
Factor terms by grouping. 2 x^3 + x^2 - 18 x - 9 = (2 x^3 + x^2) + (-18 x - 9) = x^2 (2 x + 1) - 9 (2 x + 1):
x^2 (2 x + 1) - 9 (2 x + 1)
Factor 2 x + 1 from x^2 (2 x + 1) - 9 (2 x + 1):
(2 x + 1) (x^2 - 9)
x^2 - 9 = x^2 - 3^2:
(2 x + 1) (x^2 - 3^2)
Factor the difference of two squares. x^2 - 3^2 = (x - 3) (x + 3):
Answer: (x - 3) (x + 3) (2 x + 1) thus the Answer is C.
Answer:
(x - 3) (x + 3) (2 x + 1) thus the Answer is C.
Step-by-step explanation:
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Step-by-step explanation:
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8, 3/4-foot lengths of pipe can be cut from a 6 1/3-foot pipe.
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Answer:
B
Step-by-step explanation:
|x-6| < 1 + 10 (move 10 to the right side)
|x-6| < 11
1)x-6 < 11 (here x >= 6)
2)-x+6 < 11 (here x < 6)
1)x<17
2)x>-5
so we get -5 < x < 17
the answer: (-5; 17)
Answer:
5/7
Step-by-step explanation:
We have two points ( 2,-2) and (9,3)
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 3- -2)/( 9-2)
= ( 3+2)/(9-3)
= 5/7
